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On discrete versions of two Accola’s theorems about automorphism groups of Riemann surfaces. / Limonov, Maxim; Nedela, Roman; Mednykh, Alexander.

In: Analysis and Mathematical Physics, Vol. 7, No. 3, 01.09.2017, p. 233-243.

Research output: Contribution to journal › Article › peer-review

Harvard

Limonov, M, Nedela, R & Mednykh, A 2017, 'On discrete versions of two Accola’s theorems about automorphism groups of Riemann surfaces', Analysis and Mathematical Physics, vol. 7, no. 3, pp. 233-243. https://doi.org/10.1007/s13324-016-0138-4

APA

Limonov, M., Nedela, R., & Mednykh, A. (2017). On discrete versions of two Accola’s theorems about automorphism groups of Riemann surfaces. Analysis and Mathematical Physics, 7(3), 233-243. https://doi.org/10.1007/s13324-016-0138-4

Vancouver

Limonov M, Nedela R, Mednykh A. On discrete versions of two Accola’s theorems about automorphism groups of Riemann surfaces. Analysis and Mathematical Physics. 2017 Sept 1;7(3):233-243. doi: 10.1007/s13324-016-0138-4

Author

Limonov, Maxim ; Nedela, Roman ; Mednykh, Alexander. / On discrete versions of two Accola’s theorems about automorphism groups of Riemann surfaces. In: Analysis and Mathematical Physics. 2017 ; Vol. 7, No. 3. pp. 233-243.

BibTeX

@article{66b7472a449844c2aa78bb16d5bb22e7,
title = "On discrete versions of two Accola{\textquoteright}s theorems about automorphism groups of Riemann surfaces",
abstract = "In this paper we give a few discrete versions of Robert Accola{\textquoteright}s results on Riemann surfaces with automorphism groups admitting partitions. As a consequence, we establish a condition for γ-hyperelliptic involution on a graph to be unique. Also we construct an infinite family of graphs with more than one γ-hyperelliptic involution.",
keywords = "Automorphism group, Graph, Harmonic map, Hyperelliptic graph, Hyperelliptic involution, Riemann surface, GRAPHS",
author = "Maxim Limonov and Roman Nedela and Alexander Mednykh",
year = "2017",
month = sep,
day = "1",
doi = "10.1007/s13324-016-0138-4",
language = "English",
volume = "7",
pages = "233--243",
journal = "Analysis and Mathematical Physics",
issn = "1664-2368",
publisher = "Springer Science + Business Media",
number = "3",

}

RIS

TY - JOUR

T1 - On discrete versions of two Accola’s theorems about automorphism groups of Riemann surfaces

AU - Limonov, Maxim

AU - Nedela, Roman

AU - Mednykh, Alexander

PY - 2017/9/1

Y1 - 2017/9/1

N2 - In this paper we give a few discrete versions of Robert Accola’s results on Riemann surfaces with automorphism groups admitting partitions. As a consequence, we establish a condition for γ-hyperelliptic involution on a graph to be unique. Also we construct an infinite family of graphs with more than one γ-hyperelliptic involution.

AB - In this paper we give a few discrete versions of Robert Accola’s results on Riemann surfaces with automorphism groups admitting partitions. As a consequence, we establish a condition for γ-hyperelliptic involution on a graph to be unique. Also we construct an infinite family of graphs with more than one γ-hyperelliptic involution.

KW - Automorphism group

KW - Graph

KW - Harmonic map

KW - Hyperelliptic graph

KW - Hyperelliptic involution

KW - Riemann surface

KW - GRAPHS

UR - http://www.scopus.com/inward/record.url?scp=85026860576&partnerID=8YFLogxK

U2 - 10.1007/s13324-016-0138-4

DO - 10.1007/s13324-016-0138-4

M3 - Article

AN - SCOPUS:85026860576

VL - 7

SP - 233

EP - 243

JO - Analysis and Mathematical Physics

JF - Analysis and Mathematical Physics

SN - 1664-2368

IS - 3

ER -

ID: 9981228